What is expand cos^2(x)-sin^2(x)(sin(x)-cos(x)) ?

The solution to expand cos^2(x)-sin^2(x)(sin(x)-cos(x)) is cos^2(x)-sin^3(x)+sin^2(x)cos(x)

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expand cos^2(x)-sin^2(x)(sin(x)-cos(x))

expand

cos^{2} (x) - sin^{2} (x) (sin (x) - cos (x))

cos^{2} (x) - sin^{3} (x) + sin^{2} (x) cos (x)

Solution steps

cos^{2} (x) - sin^{2} (x) (sin (x) - cos (x))

Apply the distributive law:

a (b - c) = ab - a c

- sin^{2} (x) (sin (x) - cos (x)) = - sin^{2} (x) sin (x) - (- sin^{2} (x)) cos (x)

= cos^{2} (x) - sin^{2} (x) sin (x) - (- sin^{2} (x)) cos (x)

Simplify

- sin^{2} (x) sin (x) - (- sin^{2} (x)) cos (x) : - sin^{3} (x) + sin^{2} (x) cos (x)

= cos^{2} (x) - sin^{3} (x) + sin^{2} (x) cos (x)

x^{\frac{2}{9}} \cdot (x - 4)

\frac{3 s ^{2} + 6 s + 84}{( s + 1 ) ( s - 2 ) ( s ^{2} + 2 s + 10 )}

(x + 1) (x - 3) + 2 (x + 1)

- 2 x sin (x^{2}) (1 - sin (x^{2}))

\frac{- ( m - 3 ) ^{2} - 5}{4 ( m - 3 ) + 3}

What is expand cos^2(x)-sin^2(x)(sin(x)-cos(x)) ?
The solution to expand cos^2(x)-sin^2(x)(sin(x)-cos(x)) is cos^2(x)-sin^3(x)+sin^2(x)cos(x)